To properly visualize the PD, you need an actual value conflict
I think belief conflicts might work, even if the same values are shared. Suppose you and I are at a control panel for three remotely wired bombs in population centers. Both of us want as many people to live as possible. One bomb will go off in ten seconds unless we disarm it, but the others will stay inert unless activated. I believe that pressing the green button causes all bombs to explode, and pressing the red button defuses the time bomb. You believe the same thing, but with the colors reversed. Both of us would rather that no buttons be pressed than both buttons be pressed, but each of us would prefer that just the defuse button be pressed, and that the other person not mistakenly kill all three groups. (Here, attempting to defuse is ‘defecting’ and not attempting to defuse is ‘cooperating’.)
[Edit]: As written, in terms of lives saved, this doesn’t have the property that (D,D)>(C,D); if I press my button, you are indifferent between pressing your button or not. So it’s not true that D strictly dominates C, but the important part of the structure is preserved, and a minor change could make it so D strictly dominates C.
I think belief conflicts might work, even if the same values are shared.
You can solve belief conflicts simply by trading in a prediction market with decision-contingent contracts (a “decision market”). Value conflicts are more general than that.
I think this is misusing the word “general.” Value conflicts are more narrow than the full class of games that have the PD preference ordering. I do agree that value conflicts are harder to resolve than belief conflicts, but that doesn’t make them more general.
I think belief conflicts might work, even if the same values are shared. Suppose you and I are at a control panel for three remotely wired bombs in population centers. Both of us want as many people to live as possible. One bomb will go off in ten seconds unless we disarm it, but the others will stay inert unless activated. I believe that pressing the green button causes all bombs to explode, and pressing the red button defuses the time bomb. You believe the same thing, but with the colors reversed. Both of us would rather that no buttons be pressed than both buttons be pressed, but each of us would prefer that just the defuse button be pressed, and that the other person not mistakenly kill all three groups. (Here, attempting to defuse is ‘defecting’ and not attempting to defuse is ‘cooperating’.)
[Edit]: As written, in terms of lives saved, this doesn’t have the property that (D,D)>(C,D); if I press my button, you are indifferent between pressing your button or not. So it’s not true that D strictly dominates C, but the important part of the structure is preserved, and a minor change could make it so D strictly dominates C.
You can solve belief conflicts simply by trading in a prediction market with decision-contingent contracts (a “decision market”). Value conflicts are more general than that.
I think this is misusing the word “general.” Value conflicts are more narrow than the full class of games that have the PD preference ordering. I do agree that value conflicts are harder to resolve than belief conflicts, but that doesn’t make them more general.